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VP
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The product of the units digit, the tens digit, and the [#permalink]
 12 Jan 2008, 03:21
The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8
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Manager
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it is C.
the number is 843.
statement1, although useful still insufficient. the only odd factor in 96 is 3. so if units digit is 3, the product of the first two ones must be 32 (32*3=96).
statement2 says hundreds is 8. alone is insuff
but both statements are suff. 843
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VP
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CaspAreaGuy wrote: it is C.
the number is 843.
statement1, although useful still insufficient. the only odd factor in 96 is 3. so if units digit is 3, the product of the first two ones must be 32 (32*3=96).
statement2 says hundreds is 8. alone is insuff
but both statements are suff. 843 OA is A if m is odd, then the unit digit is 3, since 96= 2^5 *3. any other combination would give us an even number
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VP
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marcodonzelli wrote: The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8 1. prime factors m= xyz96-2
48-2
24-2
12-26-23-31-1 so: hundreds and tens digits can be either 8 or 2 then units digit has to be 3. suff. 2. m=xyz then y=8, then x and z can either be 4 or 3 so we cannot say anything from this statement. insuff. A for me.
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Manager
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Agree with Marco. A.
2^5X3, You can't have 2 (or any of its multiples e.g. 4, 8, etc) as Units digit, otherwise it will be even.
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Manager
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96 = 2^5 * 3
1) m is odd
so units digit can be 1 or 3 based on the factors. but it cannot be 1 as no two single digits integers can give a product of 96.
So units digit is 3 - SUFFICIENT
2) hundreds digit is 8
Insufficient as number could be 843 or 826 or 834 or 862
Ans: A
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